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Finding the Third Proportional to 364,206 and 742,857

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Solution

The third proportional to 364,206 and 742,857 is: 1,515,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,206 : 742,857 = 742,857 : x
  2. Step 2: Convert to fraction form
    364,206/742,857 = 742,857/x
  3. Step 3: Cross multiply
    364,206x = 742,857 × 742,857
  4. Step 4: Simplify right side
    364,206x = 551,836,522,449
  5. Step 5: Solve for x
    x = 551,836,522,449/364,206
  6. Step 6: Final answer
    x = 1,515,176.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.